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Finding the Fourth Proportional to 21,894.28, 32,844.70 and 7,098.28

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Solution

The fourth proportional to 21,894.28, 32,844.70 and 7,098.28 is: 10,648.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,894.28 : 32,844.70 = 7,098.28 : x
  2. Step 2: Convert to fraction form
    21,894.28/32,844.70 = 7,098.28/x
  3. Step 3: Cross multiply
    21,894.28x = 32,844.70 × 7,098.28
  4. Step 4: Simplify right side
    21,894.28x = 233,140,877.12
  5. Step 5: Solve for x
    x = 233,140,877.12/21,894.28
  6. Step 6: Final answer
    x = 10,648.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.